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Finding the Fourth Proportional to 298,414.53, 447,667.95 and 98,785.17

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Solution

The fourth proportional to 298,414.53, 447,667.95 and 98,785.17 is: 148,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,414.53 : 447,667.95 = 98,785.17 : x
  2. Step 2: Convert to fraction form
    298,414.53/447,667.95 = 98,785.17/x
  3. Step 3: Cross multiply
    298,414.53x = 447,667.95 × 98,785.17
  4. Step 4: Simplify right side
    298,414.53x = 44,222,954,544.30
  5. Step 5: Solve for x
    x = 44,222,954,544.30/298,414.53
  6. Step 6: Final answer
    x = 148,193.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.